Topology and Interactions in the photonic Creutz and Creutz-Hubbard ladders

The latest advances in the field of photonics have enabled the simulation of an increasing number of quantum models in photonic systems, turning them into an important tool for realizing exotic quantum phenomena. In this paper, different ways in which these systems can be used to study the interplay...

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Detalles Bibliográficos
Autores: Zurita, Juan, Creffield, Charles, Platero, Gloria
Tipo de recurso: artículo
Fecha de publicación:2020
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/6483
Acceso en línea:https://hdl.handle.net/20.500.14352/6483
Access Level:acceso abierto
Palabra clave:538.9
Aharonov-Bohm cages
Protection
Quantum
Particles
Lattice
States
Creutz ladder
Flat band dynamics
Hubbard interaction
Photonic lattices
Quantum simulation
Topological insulators
Física de materiales
Física del estado sólido
2211 Física del Estado Sólido
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oai_identifier_str oai:docta.ucm.es:20.500.14352/6483
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repository_id_str
spelling Topology and Interactions in the photonic Creutz and Creutz-Hubbard laddersZurita, JuanCreffield, CharlesPlatero, Gloria538.9Aharonov-Bohm cagesProtectionQuantumParticlesLatticeStatesCreutz ladderFlat band dynamicsHubbard interactionPhotonic latticesQuantum simulationTopological insulatorsFísica de materialesFísica del estado sólido2211 Física del Estado SólidoThe latest advances in the field of photonics have enabled the simulation of an increasing number of quantum models in photonic systems, turning them into an important tool for realizing exotic quantum phenomena. In this paper, different ways in which these systems can be used to study the interplay between flat band dynamics, topology, and interactions in a well-known quasi-1 D topological insulator-the Creutz ladder-are suggested. First, a simple experimental protocol is proposed to observe the Aharonov-Bohm localization in the noninteracting system, and the different experimental setups that might be used for this are reviewed. The inclusion of a repulsive Hubbard-type interaction term, which can give rise to repulsively bound pairs termed doublons, is then considered. The dynamics of these quasiparticles are studied for different points of the phase diagram, including a regime in which pairs are localized and particles are free to move. Finally, a scheme for the photonic implementation of a two-particle bosonic Creutz-Hubbard model is presented.WileyUniversidad Complutense de Madrid20202020-02-0120202020-02-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/6483reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Atribución 3.0 Españahttps://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/64832026-06-02T12:44:21Z
dc.title.none.fl_str_mv Topology and Interactions in the photonic Creutz and Creutz-Hubbard ladders
title Topology and Interactions in the photonic Creutz and Creutz-Hubbard ladders
spellingShingle Topology and Interactions in the photonic Creutz and Creutz-Hubbard ladders
Zurita, Juan
538.9
Aharonov-Bohm cages
Protection
Quantum
Particles
Lattice
States
Creutz ladder
Flat band dynamics
Hubbard interaction
Photonic lattices
Quantum simulation
Topological insulators
Física de materiales
Física del estado sólido
2211 Física del Estado Sólido
title_short Topology and Interactions in the photonic Creutz and Creutz-Hubbard ladders
title_full Topology and Interactions in the photonic Creutz and Creutz-Hubbard ladders
title_fullStr Topology and Interactions in the photonic Creutz and Creutz-Hubbard ladders
title_full_unstemmed Topology and Interactions in the photonic Creutz and Creutz-Hubbard ladders
title_sort Topology and Interactions in the photonic Creutz and Creutz-Hubbard ladders
dc.creator.none.fl_str_mv Zurita, Juan
Creffield, Charles
Platero, Gloria
author Zurita, Juan
author_facet Zurita, Juan
Creffield, Charles
Platero, Gloria
author_role author
author2 Creffield, Charles
Platero, Gloria
author2_role author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 538.9
Aharonov-Bohm cages
Protection
Quantum
Particles
Lattice
States
Creutz ladder
Flat band dynamics
Hubbard interaction
Photonic lattices
Quantum simulation
Topological insulators
Física de materiales
Física del estado sólido
2211 Física del Estado Sólido
topic 538.9
Aharonov-Bohm cages
Protection
Quantum
Particles
Lattice
States
Creutz ladder
Flat band dynamics
Hubbard interaction
Photonic lattices
Quantum simulation
Topological insulators
Física de materiales
Física del estado sólido
2211 Física del Estado Sólido
description The latest advances in the field of photonics have enabled the simulation of an increasing number of quantum models in photonic systems, turning them into an important tool for realizing exotic quantum phenomena. In this paper, different ways in which these systems can be used to study the interplay between flat band dynamics, topology, and interactions in a well-known quasi-1 D topological insulator-the Creutz ladder-are suggested. First, a simple experimental protocol is proposed to observe the Aharonov-Bohm localization in the noninteracting system, and the different experimental setups that might be used for this are reviewed. The inclusion of a repulsive Hubbard-type interaction term, which can give rise to repulsively bound pairs termed doublons, is then considered. The dynamics of these quasiparticles are studied for different points of the phase diagram, including a regime in which pairs are localized and particles are free to move. Finally, a scheme for the photonic implementation of a two-particle bosonic Creutz-Hubbard model is presented.
publishDate 2020
dc.date.none.fl_str_mv 2020
2020-02-01
2020
2020-02-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/6483
url https://hdl.handle.net/20.500.14352/6483
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Atribución 3.0 España
https://creativecommons.org/licenses/by/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Atribución 3.0 España
https://creativecommons.org/licenses/by/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Wiley
publisher.none.fl_str_mv Wiley
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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